Answer
= 14.6 feet
Step-by-step explanation
The length of the ladder is 15 feet and it is place against the wall 3.5 feet from the base of the wall.
This makes a right triangle with a base length of 3.5 feet and a hypotenuse of 15 feet.
So, we can use the pythagorean theorem to calculate the height required.
a² = c² - b²
Where a and b are the legs of the right triangle and c is the hypotenuse.
a² = c² - b²
h² = 15² - 3.5²
h² = 225 -12.25
= 212.75
h = √212.75
= 14.58595215